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Find the missing terms in the arithmetic sequence 1, __, __, __, 29,...

1 Answer

4 votes

9514 1404 393

Answer:

8, 15, 22

Explanation:

The sequence has ...

a1 = 1

a5 = 29

__

The generic formula for an arithmetic sequence is ...

an = a1 +d(n -1)

Filling in the known information, we can find d:

29 = 1 + d(5 -1)

28/4 = d = 7

The terms of the sequence have a common difference of 7, so each is 7 more than the one before. The first five terms are ...

1, 8, 15, 22, 29

The missing terms are 8, 15, 22.

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